QUESTION IMAGE
Question
the function y = 4x + 3 describes player as scores in a game of trivia, where x is the number of questions answered correctly and y is the score. the function represented in the table shows player bs scores. what do the rates of change tell you about how each player earns points?
player bs trivia scores
| correct answers | score |
|---|---|
| 2 | 5 |
| 3 | 6 |
| 4 | 7 |
Step1: Analyze Player A's score function
The function for Player A's score is $y = 4x+3$, where the coefficient of $x$ (4) is the rate of change. It means for each additional correct - answer ($x$ increases by 1), Player A's score ($y$) increases by 4 points.
Step2: Analyze Player B's score from the table
For Player B, when the number of correct answers increases by 1 (from 1 to 2, 2 to 3, 3 to 4), the score increases by 1 point each time. So the rate of change for Player B is 1.
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The rate of change for Player A is 4, which means Player A earns 4 points per correct answer. The rate of change for Player B is 1, which means Player B earns 1 point per correct answer.